Re: Radicals #1

You didn't need to divide by 0.3. You also divided 6.3 by 0.3 as well as dividing $\displaystyle \sqrt{48}$ by $\displaystyle \sqrt{0.3}$ so in total you divided by $\displaystyle 0.3\sqrt{0.3}$. If you want to do this you also have to multiply by $\displaystyle 0.3\sqrt{0.3}$ to effectively multiply by 1 so that you don't change the value of it, to balance things.

Also there is no need bring everything inside the square root so that it is $\displaystyle \sqrt{70560}$ because you'll end up bringing it all outside the square root in the end.
You can simplify it like this
$\displaystyle 6.3\sqrt{48}= 6.3\sqrt{6\times8}=6.3\sqrt{2\times3\times2\times2 \times2}= 6.3\times 2\times 2\sqrt{3}=25.2\sqrt{3}$
Somehow your answer still came out right